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361342017 = 32211319001
BaseRepresentation
bin10101100010011…
…010010001000001
3221011221002001200
4111202122101001
51220000421032
655504451413
711645233161
oct2542322101
9834832050
10361342017
11175a71673
12a1019b69
1359b2785a
1435dc05a1
1521ac947c
hex1589a441

361342017 has 12 divisors (see below), whose sum is σ = 522212964. Its totient is φ = 240768000.

The previous prime is 361341997. The next prime is 361342031. The reversal of 361342017 is 710243163.

361342017 is a `hidden beast` number, since 3 + 613 + 42 + 0 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16719921 + 344622096 = 4089^2 + 18564^2 .

It is not a de Polignac number, because 361342017 - 211 = 361339969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (361342087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9517 + ... + 28517.

It is an arithmetic number, because the mean of its divisors is an integer number (43517747).

Almost surely, 2361342017 is an apocalyptic number.

It is an amenable number.

361342017 is a deficient number, since it is larger than the sum of its proper divisors (160870947).

361342017 is a wasteful number, since it uses less digits than its factorization.

361342017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 21117 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 361342017 is about 19008.9983165868. The cubic root of 361342017 is about 712.2615297971.

It can be divided in two parts, 361 and 342017, that added together give a triangular number (342378 = T827).

The spelling of 361342017 in words is "three hundred sixty-one million, three hundred forty-two thousand, seventeen".

Divisors: 1 3 9 2113 6339 19001 19017 57003 171009 40149113 120447339 361342017